{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quick example\n",
    "\n",
    "Generating peaks with Spectra and fitting them with JuMP\n",
    "\n",
    "Charles Le Losq, May 2017."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# using Spectra, and pyplot for plotting stuffs\n",
    "using PyPlot, Spectra\n",
    "\n",
    "# for peak fitting:\n",
    "using JuMP, Ipopt\n",
    "\n",
    "# we can also use Optim for simple problem (check if you have it installed)\n",
    "using Optim"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Generating the x values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = collect(0:0.1:100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Two Gaussian peaks\n",
    "\n",
    "We can generate the two gaussians one after the other. In this case, do not forget to provide values in arrays for the gaussiennes function, even for a single peak."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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33nsvmZmZLFq0iMzMTBITEwGYOnUqn3zyCYsWLWL27NkkJSUxdepUx/0efPBBPv30U5YsWXJSAHrppZeYNm0ay5cvZ9iwYa75eds4BSAREQ+zn//Vp8/x4a+hKUPP+LlBiYOMAJT0LVu3/o87SxQXGDx4MJYGPUZDhgxh3rx51NbWsnXrVmpra+nZs2ejz1RWVhITY+wDVVtby+zZs1myZAnZ2dlUVVVRWVlJcHBwo898+OGHFBQUsHbtWgYNGuT+H6yNUAASEfEw+07O55wDn2c1PwBdmHQhr333GiRtYM9XxmaKVqs7K/VCwcFGT4xZbbtIaWkpVquVTZs2YT3h/8TQ+h6uZ555hoULF7JgwQL69u1LSEgIDz30EFVVVY2uT0tLY/PmzbzxxhtccMEFjUKXnJoCkIiIh9l7gHr2ruGZdGM29EVJF53xc4OS6n+7T9xAZVUdGRk+tLt5rBbLWQ1DmWn9+vWNvv/mm2/o0aMHVquVtLQ0amtrKSgo4NJLL23y82vXruWGG27gzjvvBKCuro5du3ZxzjnnNLquW7duzJs3j+HDh2O1WnnxxRfd8wO1MVoFJiLiYfYAFJyyi8raSkL9Q+kW3e2Mnzu3w7kE+gZCYAlE72bnTjcXKi2SmZnJlClT2LlzJ++++y4vvPACkydPBqBnz57ccccdjB49mmXLlpGens63337LnDlzWLFiBQA9evTgs88+4+uvv2bHjh3cd9995OfnN9lWz549WbVqFUuXLj3jxoh79uxhy5YtjjM1t2zZwpYtW07qWWrr1AMkIuJBBw9CYaHRkXE0xDjTom9cX3wsZ/591M/qR1p8Guuy1kHiRnbu7MWoUe6uWJw1evRoysvLufDCC7FarUyePJnx48c73l+0aBGzZs3i4YcfJjs7m9jYWAYPHuxYwfXEE0+wb98+Ro4cSXBwMOPHj+fGG2+kuLi4yfZ69erFF1984egJmjdvXpPX3XPPPXz55ZeO79PS0gBIT0+nc+fOLvrpvZ8CkIiIB9nn/3TqBD8dMQJQ/479m/35/h37GwEo7kf1AHk5Pz8/FixYwMsvv3zK92fOnMnMmTObfD86OpqPP/74tG003DcIoE+fPqfsJTrVZ9orDYGJiHiQffjrnHPgh3xjN8P+8c0PQH079jWeKACJtIgCkIiIBzVcAv99/tn3AJ0Xd57xRAFIpEU0BCYi4kH2AJTc8xA5uTlAg1DTDOd2ONd4ErWfnENHOXo0jLBT758oJtEwk/dTD5CIiAfZ5wBZE7cC0C2q22l3gD5RTHAMCaEJxjcdtrN7t6srFGkfFIBERDzk2DHjHDCAitCfADinwzmn+UTTHD1GHbeSnu6q6kTaFwUgEREP2bfPeIyKgqxyIwD1ju191vdpOA/Ifk8ROTsKQCIiHrJnj/HYvTv8VOh8AHLMA+qwTQFIxEkKQCIiHtIoAB1yPgA5PhOzWwFIxEkKQCIiHmIPQKndj5FZnAlAr5heZ32fnjH1J4hHZLIno9xV5Ym0KwpAIiIesnev8RiSsguA2OBYYoJjzvo+scGxhPtHgsVGRsleamtdWaW0JsOHDz/j2V/SNAUgEREPsfcA1UY7P/wFYLFY6BVr9ALVRu4iK8sl5Uk78P3333PbbbeRkpJCUFAQffr0YeHChWaXZQpthCgi4gGVlZBpjHpxNKA+AMU4F4AAesX2ZEPOtxCzi337jLPFRM5k06ZNxMXF8dZbb5GSksLXX3/N+PHjsVqtTJo0yezyPEo9QCIiHpCeDjYbhIZCToUxBOaYy+OEntH1n60PQOJdhg8fzqRJk5g0aRIRERHExsby5JNPYrPZHNdUVlYydepUkpKSCAkJ4aKLLmq0g3RhYSG33XYbSUlJBAcH07dvX959993TtrtixQoiIiJ4++23m3x/7NixLFy4kGHDhtG1a1fuvPNO7r77bpYtW+aSn7s1UQ+QiIgH2Of/dO8O+4qMxNI9urvT93OEp3YWgGw2G2XVZaa0HewXjMViafb1b775JuPGjePbb79l48aNjB8/ntTUVO69914AJk2axPbt23nvvfdITEzko48+4uqrr2br1q306NGDiooKBg4cyKOPPkp4eDgrVqzgrrvuolu3blx44YUntffOO+9w//3388477/Dzn/+82XUWFxcTHR3d7OvbCgUgEREPaLgEftVhIw11jerq9P3aawAqqy4jdE6oKW2XPl5KiH9Is69PSUlh/vz5xpytXr3YunUr8+fP59577yUzM5NFixaRmZlJYmIiAFOnTuWTTz5h0aJFzJ49m6SkJKZOneq434MPPsinn37KkiVLTgpAL730EtOmTWP58uUMGzas2TV+/fXXvP/++6xYsaLZn2krFIBERDzAHoCSuxdTWF4ItCwA9YjpYTwJOciuzCIgsoUViqsNHjy4UY/RkCFDmDdvHrW1tWzdupXa2lp69mw8DFpZWUlMjLEysLa2ltmzZ7NkyRKys7OpqqqisrKS4ODgRp/58MMPKSgoYO3atQwaNKjZ9f3444/ccMMN/OEPf+Cqq65qwU/aOikAiYh4gD0AhafugwLoENzhrA5BPVGofyjRAXEcrixgb2E6kOaaQr1csF8wpY+Xmta2q5SWlmK1Wtm0aRNWq7XRe6GhRg/XM888w8KFC1mwYAF9+/YlJCSEhx56iKqqqkbXp6WlsXnzZt544w0uuOCCZg3Tbd++nSuuuILx48fzxBNPuOznak0UgEREPMB+aKklxghALen9sesa1YXDeQUU+6Rz7FgaIc0fnWm1LBbLWQ1DmWn9+vWNvv/mm2/o0aMHVquVtLQ0amtrKSgo4NJLL23y82vXruWGG27gzjvvBKCuro5du3ZxzjmND9Dt1q0b8+bNY/jw4VitVl588cXT1rVt2zZGjBjBmDFj+NOf/tSCn7B10yowERE3s9kgI8N4XhlkTNjpFt2txfftHtPFeBK1jwMHWnw7cbHMzEymTJnCzp07effdd3nhhReYPHkyAD179uSOO+5g9OjRLFu2jPT0dL799lvmzJnjmI/To0cPPvvsM77++mt27NjBfffdR35+fpNt9ezZk1WrVrF06dLTboz4448/cvnll3PVVVcxZcoU8vLyyMvL4+DBg67/H8DLqQdIRMTN8vOhogJ8fKDQVj8BOtIVPUD194hMJzMTeju/rZC4wejRoykvL+fCCy/EarUyefJkxo8f73h/0aJFzJo1i4cffpjs7GxiY2MZPHiwYwXXE088wb59+xg5ciTBwcGMHz+eG2+8keLi4ibb69WrF1988YWjJ2jevHknXfPhhx9y8OBB3nrrLd566y3H6506dWL//v2u/R/AyykAiYi4mf3fleRk2F/suh6gLlH2HqB0xyaL4j38/PxYsGABL7/88infnzlzJjNnzmzy/ejoaD7++OPTttFw3yCAPn36nLKXCGDGjBnMmDHjtPdsLzQEJiLiZvYA1Lkz7D3S8iXwdl0i6wNQpAKQyNlSABIRcTP7BOjUzjVkFBmTgVwSgBr0AGVk1rX4fiLtiYbARETczN4DFNX5ALW2WgKsASSGJbb4vinhKfhgpc63kj15eUDL7ymuceLQlHgf9QCJiLiZPQD5xxvDX12iuuBjaflfv35WP+ICU4w2itNbfD+R9kQBSETEzewByBZhTIB2xfCXnX0eUH5lOnVtdBSs4QGi0j6548+AApCIiBvV1R3fA6gi0HjimLzsAr06GveqDd9HQYHLbusV/Pz8ACgrM+fwU/Ee9j8D9j8TrqA5QCIibpSfD5WVYLVCkc1YqpUakeqy+3ePbrwXUHy8y25tOqvVSmRkJAX1yS44+OxOY5fWz2azUVZWRkFBAZGRkScdG9ISCkAiIm7UcA+gAyVGD5ArA9CJewGdcEh4qxdfn+gK2lr3lpyVyMhIx58FV1EAEhFxo4Z7AO0vNnqAOkV0ctn92/peQBaLhYSEBOLi4qiurja7HDGBn5+fS3t+7BSARETcyB6AUjvX8FVJlvHchT1AjnuFZ7M/sxZw/T8U3sBqtbrlH0FpvzQJWkTEjeybIMZ0zqXWVoufjx8JYQkuu398aDw++IJPLbtzc112X5G2TgFIRMSN7D1AQfHG/J/k8GSX7AFkZ/WxEuufZLR1WEfCizSXApCIiBvZA5BPVP38n0jXzf+xSwo1hsHyKtrgJCARN1EAEhFxk4Z7AFUHu34JvF2XaOOeRbZMNE9YpHkUgERE3CQ/H6qqwMcHimz1S+DDXR+AesQZx2EQnklenstvL9ImKQCJiLjJgfopOQkJkFXqviGwTpH1oSriANnZLr+9SJukACQi4ib2AJSSAhlFrt8E0c5xz4hMBSCRZlIAEhFxE/vGhCmpNjKKjQDkyk0Q7VIi6ofAFIBEmk0BSETETew9QHEpRZRWlQINwooLOXqAggvZn62DQ0WaQwFIRMRN7AEoONHoCooNjiXYL9jl7UQERBBAGAC787UXkEhzKACJiLiJfQjML8Y4AiMl3PW9P2CclxXrb9w7o1h7AYk0hwKQiIib2HuAbKFGAEoOT3ZbW/bNEPPLFYBEmsMjh6GOHTsWMH5Lef311z3RpIiIqaqqcOzJUxHg/gDUNTqVbw/D4bpMbDawWNzWlEib4JEAtHjxYiz1/zUqAIlIe5CdDTYbBATAkVpjaVZSWJLb2uuVkAJ7oCY4k6IiiIpyW1MibYLHhsBsNhs2m81TzYmImMo+/JWcDNkl7u8B6hJt3w06i6wstzUj0mZ4JADV1dU5vkRE2gN7AEpNhSwPBKCk8PrepfBs7QUk0gyaBC0i4gaOTRBTIPto/RBYuPuGwBzDa2EKQCLNoQAkIuIGxzdBLKGksgRw7xwgR7gKLGFfVqnb2hFpKxSARETcwN4DFJpgdMdEBEQQFhDmtvbCA8LxJxSAPfnqAhI5E6dXgWVmOrfXRGqq6w8CFBHxNvYeIL+YbDjk3uEvu2jfJPJqdrL/cDbQy+3tibRmTgegLl26nPVnLBYLNTU1zjYpItJqODZBDHP/BGi7+OBk8kp2kntMPUAiZ+L0EJh9WfvZfGkVmIi0B6WlcOSI8bzCvz4Ahbk/AKVEGr1MhdVaBy9yJk73AKWnp5/2/eLiYtavX8/8+fM5ePAg//jHP+jTp4+zzYmItBr23p/wcDhU6f4VYHbdOiRBJpRZs6msNDZhFJGmOR2AOnXqdMZr+vXrx1133cUVV1zBuHHj+O6775xtTkSk1Wi0B9BRzw2BdYs7vhQ+Lw+a8de0SLvl9lVggYGBPP/88+Tm5vKnP/3J3c2JiJiu4R5A9k0Q3bkE3i65wWaIublub06kVfPIMviBAwcSEhLC8uXLPdGciIip7D1AKSmQXWIMgXmiB6jhZogKQCKn57GjMGpra8nVf5Ei0g7YA1BCSgUHyw4CnglAjjZC8ziQrRW3IqfjkQC0atUqKioqiIyM9ERzIiKmOr4JYg4AAdYAooOi3d5uXEgcFpsVfOrYk5fn9vZEWjO3BqDq6mqWLFnCmDFjsFgsjBgxwqn7rFmzhuuuu47ExEQsFgsff/xxo/d//etfY7FYGn1dffXVrvgRRETOmr0HyD/m+PCXxWJxe7tWHythlgQA0gu1F5DI6Ti9Cqxr166nfb+iooKCggLHHkARERH84Q9/cKqtY8eO0b9/f8aOHctNN93U5DVXX301ixYtcnwfoPWfImICm+14D1BdqOdWgNnF+idRUpXlmHskIk1zOgDt37+/2ddecsklvPDCC/Ts2dOptkaNGsWoUaNOe01AQADx8fFO3V9ExFUKC6Giwnhe4e+5PYDs4kOS2FcFBRUKQCKn43QAatjb0uSNfX2Jioqif//+JCW5/z/+1atXExcXR1RUFCNGjGDWrFnExMSc8vrKykoqKysd35eUlLi9RhFp++zDXx07QkG5MQcoMTTRY+2nRibx9RE4UqMAJHI6TgegMWPGuLKOFrn66qu56aab6NKlC3v37uX3v/89o0aNYt26dVit1iY/M2fOHGbOnOnhSkWkrWu4B1DO0foAFOaWy1ZKAAAgAElEQVS5ANQ9LhnSjd2ga2rA1+m/5UXatjbxn8att97qeN63b1/69etHt27dWL16NVdccUWTn3n88ceZMmWK4/uSkhJSUlLcXquItG0N9wDKLTW2/kgIS/BY+z0Tjm+GmJ8PHuiAF2mVPLIM3tO6du1KbGwse/bsOeU1AQEBhIeHN/oSEWmphsdg5B6tD0ChngtAKRH2AJSlzRBFTqNNBqCsrCwKCwtJSPDcXzoiItB4CMyMHqDju0HnKACJnEarGAIrLS1t1JuTnp7Oli1biI6OJjo6mpkzZ/KLX/yC+Ph49u7dyyOPPEL37t0ZOXKkiVWLSHtk7wHqkHSU0p2lgGd7gBxhy/8Y6dlHgTCPtS3SmrSKHqCNGzeSlpZGWloaAFOmTCEtLY3p06djtVr54YcfuP766+nZsyfjxo1j4MCB/Pe//9VeQCLicfYAFNjB6H4J9Q8lLMBzISTUPxS/OqO9XXk5HmtXpLVpFT1Aw4cPx2aznfL9Tz/91IPViIg0rbYWsutXn/tEeH7+j124JYFCjpJRmAv08nj7Iq1Bq+gBEhFpDXJzjRDk6wtV/p6f/2MX7W+0mVOiSUAip6IAJCLiIvbhr6QkyDvm+T2A7BLqN14sqNAQmMipKACJiLhIoz2ATFgCb5ccabRZVKMeIJFTUQASEXGRJpfAmxCAunYw2jxmyaW21uPNi7QKCkAiIi5i9i7Qdj0TjCEwW2gOhw55vHmRVsEjq8BGjBgBgMViYeXKlZ5oUkTE4xoGoP814Rwwu+SI+tAVlkturnEwq4g05pEAtHr1aiwWiyeaEhExTaMeoB3mDYE5ep1CjQA0YIDHSxDxeh4JQKmpqQpAItLmOXaBTiyneEsxYM4QmKPXKbCE/dnHgBCP1yDi7TwSgPbv3++JZkRETFNZCfn5xnO/KKP3J8g3iIiACI/XEuYfhm9dMDU+ZezOywW6e7wGEW+nSdAiIi5g3wE6MBAq/Iz5PwlhCab0flssFsIsRs9T+iEthRdpigKQiIgL2Ie/kpMhz8Ql8HbRfsYwWHaJNkMUaYoCkIiIC9gDUGqquUvg7TqGGG0XlKkHSKQpLpsDVFBQQFZWFseOHTvtwaWXXXaZq5oUEfEajTZBrN8FOjHU80vg7VIiEqEYjmg3aJEmtTgAvfjiizz//PPs3bv3jNdaLBZqampa2qSIiNdpuAQ+s/T4HCCzdOmQAJlQSg42G2ghrkhjLQpAt956Kx988MFpe3waau51IiKtTcMAtN7Ec8DseiQYbdeF5HL4MMTEmFaKiFdyeg7Qe++9x5IlSwgPD+fDDz/k2LFjAMTHx1NTU0NWVhaLFi2ie/fuxMbGsnLlSurq6lxWuIiIN/GWYzDsOkXVD7+F5ZCrUTCRkzgdgBYvXozFYuGPf/wjN910E0FBQcdv6uNDYmIiY8aMYfPmzaSkpHDjjTeyZ88elxQtIuJtmjoJ3oxjMOwa7gadl2daGSJey+kA9N133wFw5513Nnr9xF6e0NBQXnzxRY4ePcrcuXOdbU5ExGsdOwZHjhjP4xIqKSwvBMwdAnO0HVRERna5aXWIeCunA1BRURFhYWFERkY6XvPz83MMhTU0ZMgQgoOD+fzzz51tTkTEa9l7f8LCoNxqdLf4W/2JDoo2rabIwEisdYEA7NIYmMhJnA5AMTExJ+1wGhkZSVlZGUVFRU1+Jk/9sCLSBjU1/yc+NN7UMxAtFguhGL1A+7UbtMhJnA5ASUlJlJSUUFpa6nitT58+AKxatarRtZs3b6asrIzg4GBnmxMR8VreNv/HLsrPCEBZxQpAIidyOgCdf/75AGzYsMHx2rXXXovNZmPq1Kls2LCB6upqNm7cyJgxY7BYLFx88cUtr1hExMs03AU652j9HkAmzv+x6xhkhLD8Mh2HIXIipwOQPex88MEHjtceeOABkpKSSE9PZ/DgwQQGBnLRRRexbds2fH19mTZtmkuKFhHxJo12gfaCc8DskiKMGg5XqwdI5EROB6BrrrmGVatWcffddzteCw0N5YsvvmDIkCHYbDbHV2pqKsuWLeOiiy5ySdEiIt7EW4fAOsUYAeioTQFI5ERO7wTt6+vLsGHDTnq9R48erF27lqysLA4cOEBERAR9+vQxdTKgiIg7NQpAeeZvgmjXMz4RfoCaoByOHYOQELMrEvEeLjsM9UTJyckkJye76/YiIl7BZmscgHJ2e88coC4djm+GmJsL3bubW4+IN3F6CExERKCoyNgIESA52TuOwbBLtNcQlqvjMEROoAAkItIC9t6fmBjwD6zh4LGDgHfMAXLUEFzIgZxKc4sR8TIKQCIiLdBw+Cu/NB8bNnx9fIkNjjW3MCA6KBqfOn8AduVoI1qRhhSARERaoNH8n/o9gDqGdMTHYv5frxaLhRCbMQy276DGwEQaMv+/UBGRVqypYzC8Yf6PXaSvUcuBIm2GKNKQApCISAvYN0FMTfWuPYDsOgQaASjvmHqARBpSABIRaYEme4C8YAm8XVK4EcYOV6kHSKQhBSARkRZoag6QNwWg1GijlhLtBi3SiAKQiIiT6uogK8t43rAHyJuGwLp3NAJQhW8u1dUmFyPiRRSAREScdPAgVFWBxQJJScfnAHnTJOgeCcc3Q8zPN7cWEW/ikQA0YsQIRowYwbRp0ygqKvJEkyIibmefAJ2QAH5+3jkHKLl+DhBhOdoNWqQBjwSg1atX8+WXX/LnP/+Zrl27Mnv2bMrKyjzRtIiI22RkGI+dOkFtXS15pcZmg97UA+SoJeQgWbkaAxOx80gASk1NJTU1laCgIIqKinjiiSfo1q2bJ5oWEXGb/fuNx06d4GDZQepsdfhYfIgLiTO1roZig2Ox1BnnXu/K1hiYiJ3bToNvaH/93xI1NTWsX7+elStXsnr1ak80LSLiNg17gOzzf+JC4vD18chfrc3iY/Eh2NaRY2SztyAXSDa7JBGv4NFJ0L6+vlx88cVMnz6dL774wpNNi4i4nD0Ade7snfN/7CJ8jHlAmYe1F5CInVaBiYg4qWEPkGMPIC+a/2MXW78btD2kiYgCkIiI05oaAksM9Z49gOzsvVKHKhWAROxaPFBdVlbGa6+9xqeffkpGRgbl5eXs3bvX8X5xcTErVqzAYrFw2223tbQ5ERGvUFQExcXG806dIDfd+/YAskuJSoBCKK5VABKxa1EA2rJlCzfccANZWVnYbDYALBZLo2vCw8OZNWsWO3fupGPHjowYMaIlTYqIeAV7709MDISEePccoG5xCbAHyqy52GzGxo0i7Z3TQ2CFhYVce+21HDhwgPPPP59nn32W8PDwk66zWCyMGzcOm83G//7v/7aoWBERb9FwAjR49xygXonGsJwtJIfCQpOLEfESTgeg+fPnk5ubyxVXXMH69euZMmUKQUFBTV577bXXArBu3TpnmxMR8SoN5/9AgzlAXnQOmF1q1PHjMLQbtIjB6QC0fPlyLBYLTz/9ND4+p79Nr1698PPzazQ3SESkNWsYgGw22/FdoL1wCOz4btD5ZOfWmluMiJdwOgDt27cPf39/BgwYcMZrLRYL4eHhlJSUONuciIhXabgLdGF5IdV1xjETHUM7mlfUKcSFxIHNAj517Mo6aHY5Il7B6QBUV1eHr6/vSZOem2Kz2SgtLSUkJMTZ5kREvEpTewB1CO6Av9XfxKqa5uvjS1CtEcz25GszRBFoQQBKSkqirKyMgoKCM167YcMGKisr6dKli7PNiYh4lUa7QB/13iXwdmE+Rm0ZhZoEJAItCEDDhw8HYNGiRWe8dubMmVgsFn72s58525yIiNcoK4OD9SNJnTp59xJ4uxh/o7acowpAItCCADR58mQsFguzZ8/m888/b/Ka/Px87rjjDv7973/j7+/PxIkTnS5URMRbZGYaj2FhEBnp3SvA7OJDjAB0sEIBSARaEIDOPfdcZs+ezdGjRxk5ciQXXHABxfXbot5+++1cfPHFdOrUiffeew+AhQsXkpqa6pqqRURM1HACtMXSYA8gL+4BSok0wllRjeYAiUALd4J+5JFHiImJYerUqWzevNnx+vvvv+/YGToyMpIFCxYwevTollUqIuIlTtwE0TEE5sVzgLp0SIAMKLWoB0gEXHAW2Lhx4/jVr37F0qVLWbt2LTk5OdTW1hIfH8/FF1/MzTffTEREhCtqFRHxCidugmjvAfLmIbBeiUY4qw3KpbQUQkNNLkjEZC0OQAChoaGMGTOGMWPGuOJ2IiJe7aRdoFvBJOiuHRrvBt2jh7n1iJjN6TlAIiLt1Ym7QLeGHiBHbaG5ZOfUmVuMiBdQABIROUsNJ0EfqThCVW0VAPGh8eYVdQaOHaqtNezJ1omoIs0aAhs7dqxLGrNYLLz++usuuZeIiBnKyyE723jerdvx+T8xQTEE+AaYWNnp+Vv98a+Jpcr3ELvzcoEOZpckYqpmBaDFixdjsVgcK7saas5RGGB0EysAiUhrZ+/9CQ+HmBj4bp/3rwCzCyOBQg6RfigX6Gd2OSKmalYAGj169CmDzj//+U+KiooIDAxk4MCBJCcnA5Cdnc2mTZsoLy8nKiqK66+/3nVVi4iYZO9e47Fr18Z7AHnz/B+7aL9ECm1byS7WXkAize4Basrtt99OcXExjz/+OI8++ijh4eGN3j969Chz585lzpw5VFVV8fbbb7e4YBERM+3bZzx27Wo8toYVYHYdQxLYXQoF5doLSMTpZfCvvvoq77//PjNmzODJJ59s8pqwsDBmzZpFQEAAM2bM4PLLL+eee+5xulgREbPZA1C3bsZja9gF2i4pPAFK4Ui1ApCI06vAXn/9dXx8fHjooYfOeO1DDz2Ej48Pr732mrPNiYh4hYZDYHC8B6g1DIF1jjVC2lEUgEScDkA//fQTERERhIWFnfHasLAwwsPD+emnn5xtTkTEK5w4BOboAWoFk6B7JhghrSogh6oqk4sRMZnTAaiuro6ioiIOHz58xmsPHz5McXExdXXafEtEWi+b7eQhsNZwErxdz4T6kBaaS36+ubWImM3pANSvXz9sNhtPPfXUGa/94x//SF1dHX379nW2ORER0+XmQkUFWK2Qmmps79GaJkEnhR8/DiMn5+RtTUTaE6cD0AMPPIDNZuOFF17g7rvvZp/916IG0tPTGTt2LM8//zwWi4UJEya0qFgRETPZ/5pLTQU/PyiqKKKipgJoHUNgjhp9K9mbXWRuMSImc3oV2B133MHKlStZvHgxf//73/n73/9OSkoKSUlJgLEP0IEDBwDjt6TRo0dzxx13uKZqERETnGoJfFRgFIG+gSZV1XyBvoH41URR7XuEnTk5QJTZJYmYpkVngb3xxhssWLCAqKgobDYbmZmZrFu3jnXr1pGZmYnNZiMyMpLnnnuORYsWOd3OmjVruO6660hMTMRisfDxxx83et9mszF9+nQSEhIICgriyiuvZPfu3S350URETnLiCrDWNAHaLtRm1GrsBi3SfjndA2T3m9/8hvvuu4///Oc/bNy4kYKCAgDi4uK44IIL+NnPfkZgYMt+Mzp27Bj9+/dn7Nix3HTTTSe9//TTT/P888/z5ptv0qVLF5588klGjhzJ9u3bW9y2iIhda54AbRfpm8ARtnOgSAFI2rcWByCAgIAArrvuOq677jpX3O4ko0aNYtSoUU2+Z7PZWLBgAU888QQ33HADAH//+9/p2LEjH3/8MbfeeqtbahKR9ueUS+BbwQRou7igBNIrIP+YApC0by0aAvMG6enp5OXlceWVVzpei4iI4KKLLmLdunWn/FxlZSUlJSWNvkTkZMcKjvHVff/gqy53sjOoP/nWBLJ9U/k+/FJWDZzKlpfWYqtrHyuKWvMmiHYJ9SvBDlfrPDBp31zSA2SmvLw8ADp27Njo9Y4dOzrea8qcOXOYOXOmW2sTac3KD5ez/pfPMGDVfC7h5BVDSUcPwOavYPM8dkxNo3jqH7noqWs5xbnJrd6xYzj2zmmNx2DYdY5OhAIosakHSNo3pwPQiBEjzvozFouFlStXOtukSz3++ONMmTLF8X1JSQkpKSkmViTiPbYs/JLoqXczvCYdgAzfbqRfdCshVw4hvE8SteVVFK3fCf/5D/33LaNPxXcw6+d8/fov6LXmVWK6t73VRXv2GI/R0RAZaTxvjT1A3eMT4Cco982lrg58Wv04gIhznA5Aq1evbtZ1lvpfB202m+O5K8XHxwOQn59PQsLx38Ly8/MZMGDAKT8XEBBAQECAy+sRac1sdTa+vGkBl/zzd/hSS441mf0Tn2HwvFvo5HvCv5S/vhC4i6K9C1hzx1yGrJ/P0NylZPT5jtzFyzjvjv6m/AzusmuX8diz5/HXWuMqsN5J9bWG5FJYCB06mFuPiFmcDkB/+MMfTvt+cXEx69evZ926dcTExPDAAw9gtVqdbe6UunTpQnx8PCtXrnQEnpKSEtavX88DDzzg8vZE2ipbnY01A3/L8C0LAVjb+Q76r3uFofGhp/1cZLcYLvvmaXYvuY3AO35Bp5p9HL3zEjYc/DeDHrrEE6V7hD0A9eplPNpsNscqsNY0BJYaZd8NOoecHBsdOrTRMUuRM3BbALL74osvuOmmm9i+fTsffvihU22Vlpayx97/jDHxecuWLURHR5OamspDDz3ErFmz6NGjh2MZfGJiIjfeeKNT7Ym0N7Y6G2v6T2LYj38B4MsbnuOyZQ9h8Wn+P449bkmj5MKNfH/+L+h/ZDXn/HYk31SsYPBjw91UtWed2ANUXFlMeU050Lp6gBy1+pexL/so/fuHm1uQiEncPvo7YsQIFi5cyEcffcRrr73m1D02btxIWloaaWlpAEyZMoW0tDSmT58OwCOPPMKDDz7I+PHjGTRoEKWlpXzyySfaA0ikmb4cMZNhP/6FOix8dffrDPv4t2cVfuzCO0fTe9//sTluJCGUcc7j1/PD21vdULHnnRiA7L0/EQERBPsFm1TV2Qv1D8VaEwbAzhxNhJb2yyPT3371q19htVqdDkDDhw/HZrOd9LV48WLAmGf01FNPkZeXR0VFBZ9//jk9Gw7Ui8gpfXXvmwz/0lgR+dUdr3DJG2NbdL+AyCD67vmYH6KHEc5RYkZfw/612a4o1TQ2G+zcaTy3/9Vin//TmiZA24XUGb1A+woUgKT98kgACgwMJCQkhB07dniiORFpph1vbWLQa+MBWD34MS57a7xL7usXFkiX7z4iPaA3SXVZFF11M+Ul1S65txkKC+HIEeN59+7Go+MU+FY0/GUXYTVqzjyiACTtl0cCUHZ2NsXFxdhs7WOzNJHWoDizmOC7byGAKtbHX89l//2TS+8flhpF8Bf/otgSwYCyday+ZJpL7+9J9uGvlBQIrh/tas09QB0CjZpzS7UZorRfbg9A5eXlTJgwAYC+ffu6uzkRaaZtl95Pp5p9ZFk70evrxficuMzdBToO7UbG9DcAGLX1GVY9+onL2/CEE1eAAa1yBZidvebCSvUASfvl9Cqwp5566rTvV1RUcODAAT799FMKCwuxWCxMnDjR2eZExIXW/W4pQzPfowYrRX99n+Qu7tu4sN+Mm/j235O48NsX6fnMveTe/SMJvSPc1p47NLUHUGvcBNEuNToBjkBxnQKQtF9OB6AZM2Y0a2NDm82Gj48PTzzxBLfffruzzYmIixTuPET3eUav7FcXP8bwcRe5vc20/8zlQMd/k1K5l0+u+h3xGX9rVUdmnHYTxFbYA9QtLgH2QpmPApC0X04HoMsuu+y0AcjX15eoqCj69+/PLbfcQo8ePZxtSkRc6KeRk7nYVsDugHMZ8n9PeqRNv4hgav76Bvx6GFcfeJVPH7mZkc/8zCNtu8KJK8CgdU+C7pNs9FrVheRw9CiEhZlckIgJ3H4Uhoh4j83PrOTijHeoxYfqvy4iINxzx8F0GXMZG//2IBd8/QLdn5vI4SlbiU7w/uNoamqa3gW6NfcAdY07vht0bq4CkLRPOgZPpJ2oLqsm7MnJAHzVdwLnjBnk8Rr6/+8sDvrG061uN6v/Z4HH23fG3r1QVQVBQdC5s/FacWUxZdVlACSHJ5tXnJOSwpKMJwFH2XvgqLnFiJjE6QD01FNP8dxzzzX7+ueff/6ME6dFxH2+vutlelRuo9ASQ/9/mvPfol9MOIWPPA3AVev/yJb/8/5l2Nu3G499+hw/OT2rJAuAqMAogvyCTKrMeWEBYY7doLdnte5NKkWc5XQAmjFjBs8++2yzr58/fz4zZ850tjkRaYFDOw4yYJlxdMy222cT6cZVX2fS+493sDt2CKEcI2f0o9TVmVZKs2zbZjyee+7x17JLjNCQFJ5kQkWuEVxr1L47XwFI2icNgYm0A9vumE0ExewISuPiN8aZW4yPD1FvvQDANYVv8Z+nt5hbzxk0GYCOGqGhNQ5/2UVZjdozDisASfvksQB0+PBhHU4qYoLsdZkM/s445b1s+lys/laTK4LYkQPZ1vdWAAKemkZlpckFncZpe4DCWm8PUMcgo3Z7mBNpbzwSgD744AOOHj1KamqqJ5oTkQb2jZlBAFV8F3k55z9ypdnlOHR5649U48vl5f/HP6f+1+xymlRTc3wJfMMAZJ8D1JoDUHL98N2hyiyTKxExR7OXwS9cuJCFCxc2eu3gwYN07dr1lJ+x2WwUFRVRUlKCxWLh2muvdb5SETlre/+1g6G73wTA79k5WHy8Z/fB4H7d2XHZOPqs+SupLz/OkZn/JSrae+oD2LPHWAEWHAydOh1/3d5r0prnAHXtkAyFUGRTD5C0T80OQEVFRezfv7/Ra7W1tSe9dipXXHEF06dPP5vaRKSFCu5/km7U8U3CjQz2wI7PZ6vHP6ZT0flNBteuZdF9/8fdH3jXL0n24a9zzjm+AgzaxhygXglJ8BNU+GZjs9GqduYWcYVmB6Abb7yRzvWbYNhsNsaOHUtERAQLFpx6Lw8fHx/Cw8M577zz6NatW4uLFZHm27V0K0Oyl1KHhdiXZ5ldTpN8UxPZ/z+/ofuyp+m3bAYF+dcQ19F7/iVuav4PtI05QH07GbXbwrI5dAg6dDC5IBEPa3YA6t+/P/3793d8P3bsWIKCghgzZoxbChORljn48Bx6AuuTf8mQG8494/Vm6fbyVMo/fpGBdRt5ddJn3PvBVWaX5NBUAKqsqeRg2UGgdQ+BdY6prz00j/0HqunQwc/cgkQ8zOlJ0HV1deTkeP8mZiLtUcbKPQzOeB+A6Gd/b3I1p2eJ60De9eMB6L3sT+TlmVxQA1vqV+j363f8NfsRGAHWAGKCYkyoyjXiQuKgzhcsNrZleNH/6CIeon2ARNqgjIlzsVLHt3HX0utXA8wu54w6vzCVKos/l9at4YPfeMeKsNJS2L3beJ6Wdvz1hhOgT3cgtLfzsfgQVG0cirpDu0FLO6QAJNLG5G7IYvBOY+VX0FPe3ftjZ0lOIn/UrwHotfRPeEPn8vffg80GSUkQF3f89bYw/8cu3GL8DPsOKgBJ+9OsAGS1WrFarZzbYCDc/trZfPn6On34vIg0067xz+JPNd9FDqfvfUPNLqfZkp9/lBqsXFX3KW9P2WR2OWzebDw27P2BBnsAteL5P3ax/sbPcKBEewFJ+9OsAGSz2RxfTb12Nl8i4j6FOw8xaMvfAKh7tHX0/thZunXl4BXG7tApHzxHbq659Xz3nfF4YgByLIEPa71L4O0S63+G/DL1AEn706wumVWrVgEQHBx80msi4j22Tvorwylne/BAr9r1ubni506BC97ml3XvM3v6n5n+aopptdgD0PnnN369LWyCaNcpOgmOwpEaBSBpf5oVgIYNG9as10TEPFWlVfT+4iUAjoz5rVft+txcloHnc7jfcKJ/WE3o4hfIn/U0HTt6vo7KyuNL4E/qAWpDc4B6xidBBpRaFYCk/dEkaJE2YsPvlhBfl0ueTwKDnr7Z7HKcFjXrYQDG1vyNF+ccNaWGbduguhqiouDEIwzb0hyg81KNIbDa4CzKykwuRsTDFIBE2gBbnY3oN+cD8NMVk/AP9Te5IudZrr2G0qSeRFJM+V8WcfCg52toOPzVcKV7na3OsQ9Qaz4Gw65nfH2IC8smK0tzNKV9UQASaQN++MtX9CnfTDmB9H1hvNnltIyPDyHTfgvAhOoFzH+21uMlbNhgPJ44/+dQ2SGq66qxYCEhNMHjdblaUrixDxB+FezYf8TcYkQ87KyWwbf0S8vgRdyjfLbR+7Oh92hiesWaXE3LWcaMpjIshq6kk/H8xxQWerb9deuMx8GDG79un/8TFxKHn7X1Hx0R6BuIX7Wxm/X2A5oHJO3LWS+Db+mXiLhW5up9XJj7MQCJcyebXI2LBAfj/+D9ANxT8SKnOXPZ5Y4ehR9/NJ4PGdL4Pfv8n7Yw/GUXWmf8LLvztReQtC9ntQxeRLzPvodfJBUbG2Ou4oLrzzG7HJex3H8ftj/P4fK61Tw2fxtTppxLVJT7292wAerqoFMnSDhhlKstLYG3i/ZN4gjfk3FEPUDSvji9DF5EzFd+uJwB3y0CwPZgG+n9sUtJgetvgI8/YvSxv/D88y/xhz+4v1n78NeJvT/QtpbA23UMTmJvJeSWKgBJ+6JJ0CKt2OZpS4m0FZFlTeX8x0eaXY7LWSZNBGA0f+f1+SUUF7u/zdMGoKNtLwClRho/y6EqDYFJ+6IAJNKKhb5jHHuxZ9g9WP2tJlfjBiNGYOvdmzBKua74H7z4onubq62Fr782njcVgA6UHADa1hyg7nHGbtslFgUgaV9aHIBsNhtLly7l5ptvpkuXLoSEhBASEkKXLl24+eabWbp0KXV1da6oVUQa2Pd/P9G/5L/U4kOvP99tdjnuYbFgmTABgIm8xHPzbBx1496I338PR45AePjJO0ADZBZnAtApspP7ivCwc1OMnR4rAzOp9fyOAyKmaVEAyszMZMiQIdxyyy0sW7aMjIwMysvLKS8vJyMjg2XLlnHLLdkpmfYAACAASURBVLcwePBgMjIyXFWziACZ018DYGPHa0kY1HZ6JE4yejS2kBDOYQf9jqzmpZfc19QXXxiPl10GJ+7aYbPZHAEoNeKE7aFbsX6d6s9bC88kN1crdaX9cHpjnuLiYoYNG0ZmZiY2m42hQ4cyYsQIkpKM8eTs7GxWrVrF2rVr2bhxI5dffjnfffcdERERLitepL2qLKmk7+bFAFjuvdfcYtwtIgLLXXfBK68wkZd4YN7lTJoEoaGub8q+4HXEiJPfKywvpKKmAmhbc4A6R9UHoIBSdqQXk5wcaW5BIh7idAD605/+REZGBtHR0bz//vtcccUVTV63atUqbr75ZjIyMpg9ezZz5851ulgRMWx68mOG2grJ9Uni/GmjzC7H/SZOhFde4UY+5jeHcnjllUSmTnVtE9XVsGaN8fzyy09+3977Ex8aT4BvgGsbN1GwXzC+VbHU+B9iS3omP7tUAUjaB6eHwD766CMsFguvvPLKKcMPwOWXX84rr7zimCskIi0X+A9j8vPOi8fiG9gOdlg/7zy45BJ8qeVuFvHMM7j88M5vv4XSUoiOhn79Tn6/LQ5/2YXVGb1AO3IyTa5ExHOcDkBZWVn4+/tz0003nfHa//mf/yEgIIDsbO0zIdJSGV/s5fwjX1CHhe5zxpldjueMN844e8D3VQ4W1PG3v7n29suXG48jR4JPE38zHig2VoClhKe4tmEvEOtnhLr0wgMmVyLiOU4HoKioKAIDA/Fp6m+KE1itVgIDA4nyxDauIm1c+jRj8vOm2JEkX9x2ViOd0S9/CZGRJNdk8DM+Y+5cKC933e3tAej665t+vy33ACWFGj9Tdql6gKT9cDoADR06lJKSEnbt2nXGa3ft2kVxcTGXXHKJs82JCFBdVs053xo7P9fe3cYnP58oKAjuuguAyUGvkpcHr7/umlvv3Qvbtxsrv66+uulrMkvabgDqEmP0ah2qVgCS9sPpAPTYY4/h5+fHhAkTqKysPOV1VVVVTJgwAT8/Px577DFnmxMRYNOM5cTV5VPg05GBM64zuxzPq1/xNrLyn3Qkjz//GU7z10+z2Xt/Lr0UIk8xB9g+BNYWA1CfRONnOuqjITBpP5wOQBdccAFLlixh06ZNDBgwgEWLFrF//36qq6uprq5m//79LFq0iLS0NDZv3syHH37I+eef78raRdod3zeMiS/bL7wbv2A/k6sxQd++MHgw1roaJocvJjsbXn215bd9913j8cYbT32NfQisLc4BGtDZCEA1IZkun1wu4q0sNpvNqZ2vrFbXbLtvsVioqalxyb1aoqSkhIiICIqLiwkPDze7HJGTZH21n8RLu+KDjYyVe+g0opvZJZlj0SIYO5bi2G5EHdpFdIwPu3YZq7ecsXMn9O4NVitkZ0PHjidfU11bTcCsAGzYyHs4j46hTVzUimWVZJEyPwXqrGy7tZJz+rTBY1WkzXL232+ne4BsNpvLvkTkzPb8/g18sLE56or2G34AbrkFwsOJOLSXuzutorAQpk93/nZvvWU8jhzZdPgB4xBUGzYCrAF0COngfGNeKiE0Aeqs4FPLlr25Zpcj4hFObyCyyr5lqoi4XU1FDb3WGjN+K+5qZ5OfTxQSAnfeCX/5C7O7/I03Mq7g5ZeNVfJN7d9zOjU18I9/GM/r51c3yT7/Jzk8GR9L2ztD2upjJag6mfKADH7MPAC04aNVROo5HYCGDRvmyjpE5DQ2/+nfXFiXwyFLLAP/eJqJKu3FvffCX/5Cx7UfMfa6g7yxvAMTJsCXXxpDWc21bBlkZEBsLNxww6mva8tL4O0iLCmUk8Gu/ExgiNnliLhd2/tVRqQNstXP9P3x/DEEhLedYxicNmAADBoE1dU82/dNQkNh7VpYsKD5t7DZ4NlnjecTJxqr7E+lPQSgjgHGz5ZRpKXw0j4oAIl4udwNWVyQvwKA1KfuMbkaL1K/M3TUB3/juXnGXMJp02DbtuZ9/PPPYcMGCAyECRNOf+2Bkra7C7RdSn24yyvXUnhpH1xyiFBOTg4//PADR44cobq6+rTXjh492hVNirQbOx9bRAJ1bIm4jAHX9Da7HO9x6/+3d9/RUVVrH8e/MymTXiAkEBJCgBBCL4GAgICggIoiCIpBuIroi6Ao9grYELAjF1QUropSrKCIIlV6KBIChBogpNBCes+c949DRiIhpMzkTGaez1qzZjJzym/2vSSP++yz973w5JNw9CgPtdzEj4P78Ntv6oTR27eDt/e1dy0uxrSY6sMPg79/xaeyhx6gFv7BkA6XjNIDJOxDjQqgvXv3MnnyZLZs2VKp7XU6nRRAQlRBSWEJLTaqS1/kjLLzwc//5uEBo0bBZ5+hW/AZX3zRh8hIiI9X3/7pJ3B2Ln/XmTMhNlad9LAyd5DZQwHUJqgJHIFcp9MoCuh0WicSwrKqXQDt3buXG2+8kdzcXBRFwWAw4Ofnh6OjHaxMLUQt2TtrDZElp7mk86Xzm8O1jmN9xo9XZ0L87jsafvQRP/1Uj969MfUELVkCbm5ld/ntN5g6VX394YdQv37Fp1AUhVMZpwAI9rbdS2CdQtXiTvE6xfnz1+8VE6Kuq/YYoJdffpmcnByaNWvG2rVrycnJITExkYSEhAofQojKK56nDn6ObX8/rvUqGKVrryIj1XvfCwrg66+JjIQVK9RxPStXQpcusGGDOuC5sBDmzFFney4pgTFjKr71vVR6fjqZBZkANPVpatGvo6WwBk3VF25pHDqRpWkWIWpDtQugLVu2oNPpWLZsGf369avUqvBCiMo7F5tKl+QVAAROlctf5dLpTOuD8dlnoCjcfDP8/js0aqReDuvXD3x91ctdjz+uFkLDhsGCBZW7zJOQrv6HW4B7AG5ObtfZuu7yMnjhWKhOp73ruPzHqrB9NZoJ2t3dnU6dOpkzjxDisoPPLsKJYvZ79CDsrrZax7Fe0dFql09cHOzcCcCNN6pjfP7v/9Tb2zMyIC8PGjZUe4GWLwenSi6llnBJLQZCfUMt9Q2shmeJ+h3jzkgBJGxftQugFi1aUFRURElJiTnzCCEAY7GR0LXq5a/0EdL7UyFfXxgxQn19xcqofn4wbx5cugT796trfiUlwaRJUJUO69IeIFu+/FUqwFktgI5dOKltECFqQbULoP/85z8UFhby888/mzOPEAL4+/31hBSfIAMvOr89Uus41q/0MtiSJZBVdvyKwQBt20LLllUrfEqdTD8JQKiP7fcANfFqCsCZbOkBErav2gXQo48+yoABA3jkkUfYtm2bOTMJYffy56g9GfvaROPu765xmjqgVy8ID4ecHPj2W7MeurQHyB4KoPAA9TteKJECSNi+at+z7uDgwMqVK3n66afp1asXvXv3pmvXrnh6ela436s1WbZZCDtw4dB5IhN/ACDglYc1TlNH6HTw0EPwzDPqZbCHzddu9jQGqGNIKJyAHKcEmQtI2DydoihKdXdetWoVkyZN4uTJk+gq+S/FWscMZWZm4u3tTUZGBl5eXlrHEXZsw5B36fvL0xx0i6R1TozWceqO8+ehcWMoKoK9e9X1wmpIURTc33InrziPo48dpUW9FmYIar32p8TT/tMIKPAk+bEMGjWSCkhYv+r+/a52D9Bff/3F0KFDTQVN8+bNCQgIkIkQhagBxajQ5A/18teFu2Twc5U0aKBO8rN8uXqP+8cf1/iQZ3POklechw6dTc8CXaqFX4j6wpDF34fTaNToOrNEClGHVbtaee211yguLiYyMpIlS5bQrFkzc+YSwi7Fzv2LDoWHycadTrNGaR2n7hk/Xi2Avv4aZs26ehroKiodAB3kFYSzwzXW1bAhrk6uOBc0pNCQyq7jCQzuKwWQsF3VHgS9e/dudDodixcvluJHCDPJel/t/dkTPgrPwIrH04ly9O8PTZuqE/98912ND2dP439KeSvqdz2QLAOhhW2rdgFkNBrx9PQkLCzMnHmEsFuXjqcRmbAcAL8XZPBztej1MG6c+nrBghofzp7mACrV0EUtgE5cPKltECEsrNoFUEREBHl5eRQUFJgzjxB2K/bZr3GhgMMuHYi4P1LrOHXXAw+ohdBff6lrYdSAqQfIDm6BL1X6XZNypQdI2LZqF0CPPPIIRUVFfP311+bMI4RdUowKgb9+CkDqkPHo9HL3TbU1bgy33aa+rmEvkD3NAVQqopH6XS8pUgAJ21ajmaDHjh3L5MmTWbJkiTkzCWF34hZsJ6zgALm40nF2tNZx6r6HHlKf//c/daX4ajLNAm1HY4A6NW0KQJ7LSYqLtc0ihCVV+y6wBx98EJ1Oh7OzM9HR0bzwwgtERkZWOBGiTqfj888/r+4phbBZ6e9cHvzcfCS9Qnw0TmMDbr0VAgMhORl+/hlGVn05kRJjCaczTgP2NQaoS/PLxZ73SU6fVmjWTHojhW2qdgG0aNEidDodpfMonjp1ilOnTpW7bel2UgAJcbWM0xl0Oar2ono/I4OfzcLRUR0L9Oab6mWwahRASVlJFBmLcNI70dizsQVCWqcQn2Aw6sEpn91HUmnWrJHWkYSwiGoXQGPGjKn07M9CiGvb99w33EgexwytaTu+h9ZxbMe4cWoBtGYNJCRAaNUuYx1POw5AiE8IDnoHSyS0Sk4OTrgWhpDnkkDM8WOMQAogYZtq1ANkLaZNm8b06dPLvBceHk58De8AEcLSFKNCwE+fAJA0eDwtZPCz+YSGws03qwXQ55/DG29UafdjaccACKtnf1N91Ne14AwJHEw9CvTWOo4QFlHtQdDWpk2bNqSkpJgemzdv1jqSENd1YOFOwvP3kYcLHd4bq3Uc21M6GHrhQqo6ovdo2lEAm1//qzzB7mrRdyL9qMZJhLCcWimAjEYjK1euZOjQoRY7h6OjIw0bNjQ9/Pz8LHYuIczl0ky192d3s5H4hPpqnMYG3Xkn+Pmpg6FXrarSrvbcAxThr37nlMJjGicRwnIsWgAdPXqU559/nqCgIIYOHcrKlSsteq7AwECaNWtGdHQ0p0+ftti5hDCHjFPp/wx+fvYRjdPYKIMBxl7uWavinED23APUJVQtgDIdj3L5PhchbI7ZC6Dc3FwWLVpE7969adWqFbNnzyY1NRVFUWjVqpW5TwdAVFQUixYtYvXq1cybN4+EhAR69+5NVlbWNfcpKCggMzOzzEOI2vT301/jRh5HDW1l8LMllV4G+/VXSEqq1C5GxWgaBB1W3/56gHq3Vr+z0ecY585JBSRsk9kKoO3btzN+/HgaNWrEuHHj2Lp1K4qiEB4eziuvvEJsbCwHDhww1+nKGDx4MCNGjKB9+/YMHDiQVatWkZ6ezrJly665z4wZM/D29jY9goODLZJNiPIoRoXAlerlr+Qhj8jMz5bUqhX07g1GozoWqBKSs5LJK87DQedAiHeIhQNan1YBoWB0AOccth9I0TqOEBZRowLo/PnzvPvuu7Rp04aePXvyxRdfkJWVZZobKCYmhoMHDzJ9+nTatm1rlsCV4ePjQ8uWLTl27NrXr1944QUyMjJMj8TExFrLJ0TcZ9sIK4hTZ35+Z7TWcWxfaS/Q55+rhdB1lI7/aerTFCcHJ0sms0pODk64FjQFYNsRGQgtbFOVCyBFUfj1118ZPnw4QUFBPPvssxw6dAgXFxfuvfdeVq9ebdo2IiLCrGErKzs7m+PHj9Oo0bXnrzAYDHh5eZV5CFFbMmZdHvwcdi/eMvOz5d19N3h7w8mTsHbtdTc3DYC2w8tfpfz06nffnyQFkLBNlZ4H6Pjx43zxxRf873//IyUlxTSzc69evRgzZgwjR46scBkMS3r66acZMmQIISEhJCcnM3XqVBwcHBg1apQmeYSoSHrCJbqcUC/P+j4ng59rhZsbjB4Nc+fCZ5+p8wNV4OjFywOgfe1vAHSpEI8wEotWc1xuhRc2qtIFUFhYmGlJi9DQUMaMGcOYMWMIreLsqpZw5swZRo0axcWLF2nQoAG9evVi+/btNGjQQOtoQlxl31Nf0od8Drt0oM0D3bSOYz/Gj1cLoJ9+gvPnoYLfD8cuSQ9Q64AwNp+B1EIpgIRtqvJM0I8//jizZs3C2dnZEnmqRVajF3WFYlQI+lW9/HV26COEy+Dn2tOhA0RGwq5d6irxTz99zU1NPUB2eAt8qS7NWsAZyHRSb4WXlY+Eran0GCCDwYCiKMyZM4fAwEAmTpzI9u3bLZlNCJsTO/cvmhceIht3Os6O1jqO/Xn48mKz8+dfczC0UTGaxgDZcwHUK0Lt/VJ8jpGccv2B40LUNZUugFJSUvjoo49o3749aWlpzJs3j549exIeHs5bb70lEw8KUQk5s/8LwJ7wUXgFycD7Wnfffepg6OPH4fffy90kMSORvOI8nPROhPpof4lfKy39m4LREZzy2RZXufmThKhLKl0A+fj4MGnSJPbu3cvu3buZMGEC3t7eHD16lFdeeYVmzZpx0003sbCS82wIYW9S9yTTNfF7AAKmT9Q4jZ1yd4cHH1Rff/xxuZvEX1AXUW5Rr4Vd3gJfylHviFuBWgBuOyrjgITtqdY8QJ06dWLu3LmkpKTw1Vdf0adPHxRFYcOGDTxUOt8G8Mcff1BcxQUIhbBV8U9+ghPF7PPqRfg9HbWOY78efVR9/u03KGeusEMXDgEQ0UCbaTysib+Dehks9swRjZMIYX41mgjRYDAQHR3NunXrOHbsGC+99BKNGzcG1PmChg8fjr+/Pw888ACrVq2SYkjYrcLsQlpvVgc/5zz4mMZp7FyLFjB4MCgKzJt31ceHzl8ugPykAGrho7bBsfR4jZMIYX5mWwojNDSU119/nVOnTrFq1SqGDRuGo6Mj6enpfPnllwwZMoSAgABznU6IOiXm2eX4G8+Sog+k65t3aR1HTJqkPn/xBeTklPko/qL6x76Vn2XWLqxLOge3BiDVeFDjJEKYn9kXQ9XpdAwaNIjvvvuOpKQk3nnnHSIiIlAUhfT0dHOfTog6wesrdbzJ4b7/h5Ob/Y4rsRqDBkGzZpCeDt98U+Yj6QH6R582ahvkexwkN1fjMEKYmdkLoCv5+fkxZcoU4uLi2Lp1K+PGjbPk6YSwSge/3EW77O0U4kSbDx/WOo4A0Ov/GQs0d656OQy4mHuR87nnAQj3C9cqndW4IexyEeiVxK64DG3DCGFmFi2ArtS9e3c+/fTT2jqdEFYjbfocAGKajqRBW7kMbDUeeABcXWHfPtiyBfjnDrBgr2A8nD20TGcVfFx8cM4PBGBDnIwDEral1gogIezR+QPn6HpCnanc+2UZ/GxV6tWD6MuTUX70EfBPASR3gP3DD7UtYk7KOCBhW6QAEsKCDjzxGQYKOeDelbbjorSOI/7tsctF6fffw8mTplvgW9WXAdClmnmpA6EPp0kBJGyLFEBCWEhBZgGt16mXv9Lvf1zjNKJc7dvDgAHqshgffig9QOXo1FgtgJKLpAAStkUKICEsZOfkxZdvfW9Mt3fv0TqOuJannlKfFywgLjUWgNYNWmsYyLr0aqUWgzmuhygq0jiMEGYkBZAQFqAYFRp9+y4AhwdNllvfrdnAgdCmDRlF2ZzKSgSgnX87jUNZj76tLxeDPieJjc+peGMh6hApgISwgF1vrKZFwUEy8aTTPLn13arpdDBlCvsv36AX5BmEr6uvtpmsiL9HAxwL/ECnsGaP3AkmbIcUQEJYgMMHau/Pni7j8W7irXEacV333cf+5upt7+1L/DQOY30aKGqP2JZjsRonEcJ8pAASwswOL/2bzpfWUowDYXMmax1HVIaLC7F91LEu7felmCZGFKpwnw4AxF38W+MkQpiPFEBCmNn5F9Tenx0hI2nco4nGaURlxTZUn9vvOwsbNmiaxdr0CFULoBTjPo2TCGE+UgAJYUZJ204TlaBOfFjvjac0TiMqS1EU9qep41vanQPeekvbQFZmUEe1ACrw2UdamvSOCdsgBZAQZnTskVk4Ucwe35uIGN1F6ziikk5lnCKrMAsnvRPhl/Tw55+wc6fWsaxGVLPWYHQE13T+jEnUOo4QZiEFkBBmci42laj9CwDQvfyyxmlEVcSe/Wf+H6foMeqbb76pYSLrYnA04Fmgzo795365DCZsgxRAQpjJwXHv4kIBsZ430PGJvlrHEVWw/+x+ANoFtIPnn1dvjV+xAmLlrqdSIQb1MtjuZCmAhG2QAkgIM7h4+AKRu+YBUPDUS+j0Oo0TiarYk7oHgA4BHSA8HEaMUD+QsUAmnRp1BCAhRwogYRukABLCDPY/9CEe5HDItRORrwzWOo6ool3JuwCIDIxU33jxRfV52TI4ckSjVNalX4TaA5Tu8jfFxRqHEcIMpAASooYyTmfQabO66GnGpJel96eOOZ9zntMZpwHo3Kiz+maHDjBkiDof0IwZGqazHoM7qwWQ4nucnfsyNU4jRM1JASREDe29/z28yeCYoTXd3hqqdRxRRbtTdgMQXj8cL4PXPx+89JL6/NVXcPSoBsmsS0NPfwz5TUCn8OP23VrHEaLGpAASogYuHr5Al03vAXB+4nT0jvJPqq656vJXqagouPVWKCmBadNqP5gVaurYDYC/TsgUAaLuk9/WQtTA/tEz8SSbQ66diJo5TOs4ohquWQABvPGG+vzttxAXV4uprFPXxmoBdDg7RuMkQtScFEBCVFPqnmSidn0MQPZzb0jvTx1VYQHUqRPcfbc6FuiVV2o5mfW5rWNXANLdd5Kfr3EYIWpIfmMLUU2Hx76JK/nEet4gd37VUSlZKSRlJaHX6enYsGP5G732Guj18NNPEGPfPR+3duwCig68E/lzR4rWcYSoESmAhKiGxE0J9Ij7DADj62/JnV91VGnvT4RfBB7OHuVvFBEB99+vvi4dGG2nvFw88chrDcCKXfZdDIq6TwogIaoh8f4XcaaI3fVupuPkPlrHEdW07cw2ALpdHttyTVOngpMTrFkDf/xRC8msVws3ta22JcpAaFG3SQEkRBXt/3QbN5xeghEdHv+dpXUcUQObT28GoFeTXhVvGBoKEyeqr596CnueCfCGEHUc0Il8KYBE3SYFkBBVoBgVeGoKAFvCHiD8nmuMGxFWr6C4gJ1J6h/x6xZAAK++CvXqqXeDff65hdNZr5E9ugOQW287Z5LttxAUdZ8UQEJUwbbJS2iXvZ1s3Gm57A2t44ga2J2ym4KSAhq4NSCsXtj1d/D1VS+FgXpHWEaGZQNaqV5h7dEXeoMhi8VrZV0wUXdJASREJeWl5REy7zkAdvV/noCOjTROJGriystfOl0lB7FPmKAulnr+vN0ulOqgdyAYtcfsl/2bNE4jRPVJASREJe0Y8Q6NSxJJcggmatlTWscRNVTp8T9XcnKCd95RX3/wARw7ZoFk1q9n0I0A7M+QAkjUXVIACVEJp9YdJ2qd+l/8pybMxLWeq8aJRE0YFSNbErcAVSyAAG67DW65BQoL1YHRimKBhNZtVA+1AMrw+Yu0S0aN0whRPVIACXEdilHh3D2TcCWfPb796fHhvVpHEjV06Pwh0vLScHV0pVPDTlXbWaeDjz8Gg0G9JX7pUsuEtGK3tOuMrtgN3C6ydN0hreMIUS1SAAlxHduf+Z6uF1ZTgDM+i+fKpIc2YM2JNQD0DumNk4NT1Q8QFgYvvqi+fvJJSE83Yzrr5+zgTMPiHgD8tEcug4m6SQogISqQeSaTph9MBmDbjc/TbHC4xomEOfxxXJ3M8JZmt1T/IM89pw6ITk21yxmiezRSJwDdeWGtxkmEqB4pgISowN83P0MjYzKnHJvT/ecXtI4jzKCguICNpzYCcHPzm6t/IIMB5s1TX8+bB9u3myFd3fFQX7V4TK/3J0kpMh+QqHukABLiGnbP+IMb4z8F4NLsBbj4uGicSJjD1sSt5BblEuAeQDv/djU7WL9+MGaMOhB67FjIzTVPyDrglraROBTUB5cM5v9iX8WfsA1SAAlRjozTGTR85SEANrZ/jI5P9NU2kDAb0+Wv5rdUfv6finzwAQQGwpEj/4wLsgMOegfCHdVeoB/jftM4jRBVJwWQEOWIvfkpGpckcsqxOZFrZmgdR5jRHyfUAujmZjW4/HUlX99/lsb48ENYv948x60D7mw7CID44t8wyt3woo6RAkiIf9n2zPf0PvI5RnSkv78Qd393rSMJM0nJSmFPyh6ghuN//m3QIHj4YfX1Aw/YzV1hj948EIAS/738sTVV4zRCVI0UQEJcIXFTAq3fGQfApu7P0WFSb40TCXP6+fDPAEQ1jqKhR0PzHvydd6BZMzh1CsaNs4sJEoN8A/DJ7QLAvDVyGUzULVIACXFZUW4RGbeOwpsM9nv0oOfa17SOJMzsp/ifALir1V3mP7inpzopopMT/PADzJ1r/nNYoX6NhwCwLvV7jZMIUTVSAAlx2ZYbX6Btzg7SdT74rv4WJ7dqTJAnrFZGfgbrEtYBMLTVUMucJDISZs9WXz/1FOzebZnzWJHnbh8BQHbAH2zbax+X/oRtkAJICGDLo4vpu/tdAOKf/pygniEaJxLmtvLISoqMRbTya0W4nwUntHz8cRg6VF0rbPhwOHfOcueyAlHNWuOZ1wYcipj5889axxGi0qQAEnbv4Je76DxPveV9Q48X6D5rmMaJhCUs3r8YgJGtR1r2RDodfPEFtGihjgcaPlwthmzYgEZqm65NXaZxEiEqTwogYdfOxabi8+BduJLPTv/buXHTG1pHEhZwNvssa46r639Ft4+2/Al9fWHlSvDygs2bYcIEmx4U/dyQy5fB/P9g6940jdMIUTlSAAm7lXkmk4vdbyWw5AzHnVsRHvM1ekf5J2GLlh5YSolSQtfArrSs37J2TtqqFSxZAnq92iNUOjbIBkU1i8Arrz04FPPy0m+1jiNEpchve2GXCjILONZ+GBF5ezmv88dx1Uq8m3hrHUtYgKIoLPx7IQCj24+u3ZMPHgzvqmPLeO45tRCyUfe0vDx9RM4nHd9yhwAAIABJREFU5Ofbbm+XsB1SAAm7U1JYwu62Y+l8aS1ZeHDhy1WE9G+hdSxhITuSdvB36t8YHAy1XwABPPEEPPus+nr8ePjpp9rPUAveHHE/FLtQ4refd77dqXUcIa5LCiBhV0oKS9jW6j/ckLiUQpw4MuMHIkZ30TqWsKD5u+YDcE/be6jnWk+bEG+/DQ8+CEYj3HsvrFqlTQ4LauDpS3u9Ohj6vzs/0TiNENcnBZCwG8X5xWxvOYZeCV9ThCO7n/6WLs+bcTkEYXXO5Zxj6YGlAEyInKBdEJ0OPvkEhg2DggL1NnkbvGX81dvU5UBS6i9h8+6LGqcRomJSAAm7UJBZQEzYffQ89Y1a/DyzlB6zh2sdS1jYRzs+Ir84n8jASKIaR2kbxtFRHRQ9YgQUFcHdd8My27ptfFjXG/DJ6wROeUz8ao7WcYSokBRAwualJ1ziUJNb6HFmuVr8PLtM5vqxA5kFmcyNUZejeKHXC+h0Oo0ToS6T8c03EB0NxcXq5bD337eZW+R1Oh3P3PA8ALGGORw6nq1xIiGuTQogYdPObD7JhYhedMzYRAZe7J+1mu4zLbAOlLA6H+34iPT8dMLrh1tu6YvqcHSE//3vn7mBpkyBxx5TCyIb8Nztw3HNbQFuaYyd+7HWcYS4JimAhM3a9cZq3G7sQouCg6ToG3N2+V90fqa/1rFELTifc55ZW2YBMLXPVPQ6K/tV5+CgLpb6zjvq+KC5c9Vb5m1g2QwHvQNPdX0VgBjD22zbJ2OBhHWyst8KQtRcSWEJG256jc6v3Eo9JY0D7l1Rtm6j5d3ttY4masn0jdPJKsyiS6Mu3NP2Hq3jlE+nUxdMXb4c3Nzgzz+hUyd15ug6bvrwaLxyO4BLBtGfvK51HCHKJQWQsCmn1h3ngF8f+q6fih6FTRGP0CL5LwKjgrWOJmrJzqSd/DfmvwDMunmW9fX+/Nvw4RATAxERkJwMffvCq6/W6fXD9Do97w1SZ75OaDCHd7/Zo3EiIa5m5b8ZhKicksISNt77X+r370D7rC1k4snm8f/jxoPzMXgZtI4naklhSSHjV45HQWF0+9HcFHqT1pEqp3Vr2LkTRo+GkhJ4/XXo2hX27tU6WbWN63czrUvuBb2RF7Y9xNnzRVpHEqIMKYBEnRe3YDtHfLrRZ+lEPMhhr09fMv+KpdenY7SOJmrZc2ueI/ZsLPVd6/PeLe9pHadqPDzgq6/UW+P9/CA2FiIj4dFH4cIFrdNVy6+Pf4C+wJciv730nvaSrdzsJmyEFECizkr4/QhbmkbTdnwPIvL2kIE3G++eQ4fzawnq1VTreKKWfX/wez7Y8QEAC+9cSAP3BhonqqYRI+DAARg5Up05et48CAtTb5fPz9c6XZU09Qvg7RsWAHDUfzZj3/5B40RC/EMKIFHnnFp3nL9aPkiTQRH0PPUNAH+1+A+F+w/TZ/kkWdHdDm1L3MboH9V1vqZ0n8KQ8CEaJ6ohf39YuhQ2bIAOHSA9Xb1dPjRULYRyc7VOWGnP3D6MPobHAfgqJ5rpX2zROJEQKvlLIeoExaiwZ9af7Gh4B8H9w+h9dCEOGNnpfzvx3+yh99GFNGgboHVMoYHtZ7YzePFg8ovzub3l7cy8eabWkcynTx/YvRs+/RSCgyE1VS2EQkLgxRfh5EmtE1bKmmfeJbRwCDjlM+3IEGZ8tUPrSEKgUxS5KguQmZmJt7c3GRkZeHl5aR1HXJa4KYHjry0mZNNXhBYdMb0f0+BWXGe8SttxGi9vIDT1/cHvGfvTWHKKcujVpBero1fj7uyudSzLKCyEL7+EGTPgxAn1PZ0Obr1VHTx9++3qOCIrlZWfS+jUm7nothWKXBnvu4RPptyBNUzQLeq26v79lgLoMimArINiVDj6w36SP/uV+ltX0i57m+mzLDzY0+4/NJn9GKEDW2qYUmgttyiXl9e9zPvb3wfg5mY38+M9P9pu8XOl4mJYuRL++1917qBSrq5w223qbfUDBqgDqa1MRl427V4bSaLLbwC0uPAEG1+ZQaC/i8bJRF0mBVANSQGkDcWocGJVPEnLNqPfuoXQk+toXJJo+tyIjr31+pM3bDQdpg/DM9BTw7RCa0bFyPcHv+fZP5/lZPpJAJ7u8TQzBszAUe+obTgtHDkCixapd44dP/7P+zoddO4Mt9wCvXurt9RbSUFUWFxEv5lPsrVYXadNn96csUEzmDfpbgwG6Q4SVScFEDB37lxmz55NamoqHTp0YM6cOXTr1q1S+0oBZHm5F3I5tfoQFzfsp/jv/Xgm7KfppT3UV8pOlZ+LK3H+/cnvfxthU4bQKLKxRomFtTibfZYlcUuYv3s+8RfiAWji3YS5t87l9pa3a5zOCiiKOmfQ0qWwahXExV29TfPm0K2bOqi6VSt14sVmzdS1yTTw4apfeXrTQxS7pgLgkBbBwHoTeXX4SKLa1tE7+IQm7L4AWrp0KWPGjGH+/PlERUXxwQcfsHz5cg4fPoy/v/9195cCqPoUo0LGqXTS4s+RnXCe3JPnKDxzDuPJ0zgln8TrYgL+uScJMKaWu38urhzx7kZ62154DO5Nmwk34lrPtZa/hbAWiqKQlJXEgXMH2JK4hfUn17M1cStGxQiAj4sPk6Mm88wNz9jHJa/qSElRL4+tXQvbt8Phw+Vv5+ysFkZNmqiP4GD1uXFjtcfIzw/q11cvr1lAem42o//7LqsuvYPifHnleKMet4s9aefZj74tohjeI5LO4Q1wcJDeIVE+uy+AoqKi6Nq1Kx9/rK4+bDQaCQ4O5rHHHuP555+/7v6WKoCOxR3lQspZFEUtFBTj5eZWFBSjUX1PUeDKzxUFBfX90p8xXt5HUTAajVcc4/K+ptfGf/YB1L8ZyuXzXD5fYTElBcUYC4pQCoswFhZhLCpCKSxGKSyComKUwkJ1rEFhIUpuDvr8HBzycnAsyMWpMAen4lwMxTm4GLPxNl7CiZKrvrtSzu+rS/iQ4tmS7MYtoWUYPlHhhAxshbObM5eTXrMtK/q/quxn/fuVGEvILcolpyiHnMIc0+v0/HTOZp8lNSeVlKwUjlw8QkZBxlX7dw/qTnS7aMZ0GIOXQf4jpUrS09XlNmJi1DmGDh2C+HjIy6vc/m5uajHk6wvu7upgaw+Pq18bDGpR5ewMTk5ln6987egIer16qU6v52JBHq9uXs3yjF857311seaQ74l7ThD1SoLw0dfDx8mX+gZv/Fx98HB2xdXJGXcnA+7Ozrgb1GcHvQ6dToeDTo9er8PRQY9Op0Ov0+GoV9/TozNtpyszGrsKxVZVRnFXadvKb1qbajpoPaRFMwKbBponzGV2XQAVFhbi5ubGd999x9ChQ03vjx07lvT0dH7++eer9ikoKKCgoMD0c2ZmJsHBwWYvgO68vzUrWhwy2/GEsAcOOgfC6ofRuVFn+jXtR//Q/oT6hmody7YYjXD6NBw9ComJ6uP0afU5ORkuXlRnoC4urtVYp73h1zDYHgQ7guCwdQxdEmby1Nlo3vnv12Y9ZnULIJsYNXjhwgVKSkoICCg7D0xAQADx8fHl7jNjxgymT59u8WwOOidcK1gCR3fd8rP8crui/a7e44p3lCvf0l3xlu7yT7oynysAOp36qU596HQ69fPL/+Wkd9Cj0+vLjaqr4D8XdNf6btXYR/az/v30Oj1uTm64O7mrz87qs5ezFw09Gpoezes1p2X9ljg7OF/zHMIM9Hpo2lR9XIuiQFaWWghduKD2JOXkQHa2+rjydXa2eqt+YSEUFV39+srnoqLLPdvGf54vv25iNDLhrJEJKUbYqZCjL+GESxHHPIs56VHMRYORNIORNBeFdBeFPCeFfAcodFSf8x0VCh3V32tGndoTbdSV/qygXH6t/Ouzuqa8Hva6wMGKblawniS17IUXXmDKlCmmn0t7gMzthy/3mf2YQghRK3Q68PJSH82aaRLBHWh3+SGEOdlEAeTn54eDgwNnz54t8/7Zs2dp2LBhufsYDAYMBlklXAghhLBHNrEUhrOzM126dGHt2rWm94xGI2vXrqVHjx4aJhNCCCGENbKJHiCAKVOmMHbsWCIjI+nWrRsffPABOTk5PPDAA1pHE0IIIYSVsZkC6J577uH8+fO8+uqrpKam0rFjR1avXn3VwGghhBBCCJu4Dd4cZCJEIYQQou6p7t9vmxgDJIQQQghRFVIACSGEEMLuSAEkhBBCCLsjBZAQQggh7I4UQEIIIYSwO1IACSGEEMLuSAEkhBBCCLsjBZAQQggh7I4UQEIIIYSwOzazFEZNlU6InZmZqXESIYQQQlRW6d/tqi5sIQXQZVlZWQAEBwdrnEQIIYQQVZWVlYW3t3elt5e1wC4zGo0kJyfj6emJTqcz23EzMzMJDg4mMTFR1hizMGnr2iHtXDuknWuHtHPtsGQ7K4pCVlYWgYGB6PWVH9kjPUCX6fV6goKCLHZ8Ly8v+cdVS6Sta4e0c+2Qdq4d0s61w1LtXJWen1IyCFoIIYQQdkcKICGEEELYHYdp06ZN0zqErXNwcKBv3744OsoVR0uTtq4d0s61Q9q5dkg71w5ra2cZBC2EEEIIuyOXwIQQQghhd6QAEkIIIYTdkQJICCGEEHZHCiAhhBBC2B0pgCxs7ty5NG3aFBcXF6Kioti5c6fWkeq0GTNm0LVrVzw9PfH392fo0KEcPny4zDb5+flMnDiR+vXr4+HhwfDhwzl79qxGiW3D22+/jU6n44knnjC9J+1sHklJSYwePZr69evj6upKu3bt2LVrl+lzRVF49dVXadSoEa6urgwYMICjR49qmLjuKSkp4ZVXXiE0NBRXV1eaN2/O66+/XmbtKGnn6tm0aRNDhgwhMDAQnU7HTz/9VObzyrRrWloa0dHReHl54ePjw7hx48jOzrZ4dimALGjp0qVMmTKFqVOnsmfPHjp06MDAgQM5d+6c1tHqrI0bNzJx4kS2b9/OmjVrKCoq4pZbbiEnJ8e0zZNPPsnKlStZvnw5GzduJDk5mWHDhmmYum6LiYnhk08+oX379mXel3auuUuXLtGzZ0+cnJz47bffOHjwIO+++y6+vr6mbWbNmsVHH33E/Pnz2bFjB+7u7gwcOJD8/HwNk9ctM2fOZN68eXz88cccOnSImTNnMmvWLObMmWPaRtq5enJycujQoQNz584t9/PKtGt0dDQHDhxgzZo1/PLLL2zatImHH37Y8uEVYTHdunVTJk6caPq5pKRECQwMVGbMmKFhKtty7tw5BVA2btyoKIqipKenK05OTsry5ctN2xw6dEgBlG3btmkVs87KyspSwsLClDVr1ih9+vRRJk+erCiKtLO5PPfcc0qvXr2u+bnRaFQaNmyozJ492/Reenq6YjAYlG+//bY2ItqE2267TXnwwQfLvDds2DAlOjpaURRpZ3MBlB9//NH0c2Xa9eDBgwqgxMTEmLb57bffFJ1OpyQlJVk0r/QAWUhhYSG7d+9mwIABpvf0ej0DBgxg27ZtGiazLRkZGQDUq1cPgN27d1NUVFSm3Vu1akWTJk2k3ath4sSJ3HbbbWXaE6SdzWXFihVERkYyYsQI/P396dSpE5999pnp84SEBFJTU8u0s7e3N1FRUdLOVXDDDTewdu1ajhw5AsC+ffvYvHkzgwcPBqSdLaUy7bpt2zZ8fHyIjIw0bTNgwAD0ej07duywaD7rmI7RBl24cIGSkhICAgLKvB8QEEB8fLxGqWyL0WjkiSeeoGfPnrRt2xaA1NRUnJ2d8fHxKbNtQEAAqampWsSss5YsWcKePXuIiYm56jNpZ/M4ceIE8+bNY8qUKbz44ovExMTw+OOP4+zszNixY01tWd7vEWnnynv++efJzMykVatWODg4UFJSwptvvkl0dDSAtLOFVKZdU1NT8ff3L/O5o6Mj9erVs3jbSwEk6qyJEycSFxfH5s2btY5icxITE5k8eTJr1qzBxcVF6zg2y2g0EhkZyVtvvQVAp06diIuLY/78+YwdO1bjdLZj2bJlLF68mG+++YY2bdrw999/88QTTxAYGCjtbMfkEpiF+Pn54eDgcNVdMWfPnqVhw4YapbIdkyZN4pdffmH9+vUEBQWZ3m/YsCGFhYWkp6eX2V7avWp2797NuXPn6Ny5M46Ojjg6OrJx40Y++ugjHB0dCQgIkHY2g0aNGtG6desy70VERHD69GkAU1vK75GaeeaZZ3j++ee59957adeuHffffz9PPvkkM2bMAKSdLaUy7dqwYcOrbgwqLi4mLS3N4m0vBZCFODs706VLF9auXWt6z2g0snbtWnr06KFhsrpNURQmTZrEjz/+yLp16wgNDS3zeZcuXXBycirT7ocPH+b06dPS7lXQv39/9u/fz99//216REZGEh0dbXot7VxzPXv2vGoahyNHjhASEgJAaGgoDRs2LNPOmZmZ7NixQ9q5CnJzc9Hry/65c3BwwGg0AtLOllKZdu3Rowfp6ens3r3btM26deswGo1ERUVZNqBFh1jbuSVLligGg0FZtGiRcvDgQeXhhx9WfHx8lNTUVK2j1VkTJkxQvL29lQ0bNigpKSmmR25urmmb//u//1OaNGmirFu3Ttm1a5fSo0cPpUePHhqmtg1X3gWmKNLO5rBz507F0dFRefPNN5WjR48qixcvVtzc3JSvv/7atM3bb7+t+Pj4KD///LMSGxur3HnnnUpoaKiSl5enYfK6ZezYsUrjxo2VX375RUlISFB++OEHxc/PT3n22WdN20g7V09WVpayd+9eZe/evQqgvPfee8revXuVU6dOKYpSuXYdNGiQ0qlTJ2XHjh3K5s2blbCwMGXUqFEWzy4FkIXNmTNHadKkieLs7Kx069ZN2b59u9aR6jSg3MfChQtN2+Tl5SmPPvqo4uvrq7i5uSl33XWXkpKSol1oG/HvAkja2TxWrlyptG3bVjEYDEqrVq2UTz/9tMznRqNReeWVV5SAgADFYDAo/fv3Vw4fPqxR2ropMzNTmTx5stKkSRPFxcVFadasmfLSSy8pBQUFpm2knatn/fr15f5OHjt2rKIolWvXixcvKqNGjVI8PDwULy8v5YEHHlCysrIsnl2nKFdMhSmEEEIIYQdkDJAQQggh7I4UQEIIIYSwO1IACSGEEMLuSAEkhBBCCLsjBZAQQggh7I4UQEIIIYSwO1IACSGEEMLuSAEkhDCLkydPotPp0Ol0nDx5slrHWLRoETqdjqZNm5o1mxBC/JsUQEJYsWnTppmKiisfLi4uBAUFcccdd7Bs2TKsfT7TkydPMm3aNKZNm6Z1FCGEAMBR6wBCiMoJCAgwvc7IyCApKYmkpCRWrlzJokWL+PHHHzEYDJrlc3JyIjw83PT6SidPnmT69OkAFRZB3t7ehIeH07hxY4vlFEIIkB4gIeqM1NRU0yMnJ4e4uDhuvvlmAH777TdefvllTfM1btyY+Ph44uPjq13A3HXXXcTHx5dZPVoIISxBCiAh6iC9Xk+bNm1YsWIFLVq0AOCTTz6huLhY42RCCFE3SAEkRB3m4uLCiBEjAMjKyiI+Pv6qbfbu3cuYMWMICQnBxcUFX19fbrjhBj744AMKCgqueez4+HgefvhhWrZsiZubGy4uLgQHB9O9e3defPHFq851rUHQTZs2pV+/fqaf/z2e6T//+Y/ps8oMgj5+/DgTJkwgLCwMV1dXvLy86Ny5M6+99hqZmZnl7rNhwwbT+QCOHTvGgw8+SHBwMAaDgaCgIMaPH09SUtI1z1sTRqORtWvX8vjjj9O9e3eCgoJwdnamfv369OnTh/nz51NUVGSRc//7u19L6TYbNmywSA4hrI2MARKijgsKCjK9/ncB8P777/PUU0+ZBkl7e3uTk5PDtm3b2LZtGwsXLmT16tU0atSozH5r1qxhyJAhpgLJyckJd3d3zpw5w5kzZ9ixYwfOzs6VGtTcoEEDMjMzuXTpElB2LFNppspatmwZY8aMMeXy9PSksLCQvXv3snfvXhYsWMDvv/9ORETENY+xfv167rjjDrKzs/H09MRoNJKUlMSCBQtYtWoVO3fuNPsYpNOnTzNgwADTzx4eHri5uZGWlsamTZvYtGkT33zzDb///juurq5mPbcQonzSAyREHXdlb0u9evVMr3/55RemTJmCoijceeednDhxgvT0dLKzs/nyyy/x9PQkNjaWu+++m5KSkjLHnDBhAgUFBdxyyy3s37+fwsJCLl26RF5eHnFxcUyfPr3St6rHxMTwww8/mH6+cixTamoqH374YaWOs2fPHkaPHk1BQQE9e/YkNjaWzMxMcnNzWbFiBY0aNSIxMZEhQ4aQnZ19zeMMHz6cm266iUOHDpGZmUlOTg5Lly7F09OT5ORkXnjhhUrlqQpHR0eio6NZsWIFFy9eJCsri/T0dLKysli4cCGBgYH89ddfvPTSS2Y/txDiGhQhhNWaOnWqAijX+qeakZGhBAYGKoBSr149paSkxPRZRESEAii9e/dWiouLr9p3xYoVpmMvX77c9P7Zs2dN7ycnJ1c6a0JCgmm/hISEMp+tX7++wu9RauHChQqghISEXPXZoEGDFEBp0aKFkpOTc9Xne/bsURwdHRVAmT179jXP369fvzLtVOqjjz5SAMXV1VUpKiq6/hc2o5iYGAVQ3N3dlby8PLMeu7JtX7rN+vXrzXp+IayV9AAJUQelp6ezdu1abrrpJpKTkwGYPHkyer36Tzo2NpZDhw4B8PLLL+Pg4HDVMYYMGUK3bt0A+Pbbb03ve3p6mo6TkpJi0e9RWenp6fz+++8APPPMM7i5uV21TadOnRg2bBhQ9vv824svvmj6fle68847AcjLy+Po0aPmiF1pkZGR+Pv7k5OTw99//12r5xbCXkkBJEQdceXAYV9fXwYMGMDu3bsBGD16dJnLJ7t27QLUSy99+vS55jFLb6Mv3R7A1dWV/v37AzBo0CBeffVVduzYQWFhodm/U2Xt2bPHNI7pyrE0/1b6fWJjY685qDgqKqrc9wMDA02v09LSqhv1mgoLC5k/fz633HILgYGBGAyGMv+bnjt3DoAzZ86Y/dxCiKvJIGgh6ogrBw8bDAb8/Pzo1KkT0dHRZe6yAkx/TP38/CqcHLF0AHXp9qUWLFjAHXfcwb59+3j99dd5/fXXcXZ2pmvXrtx5552MGzeuzHgjS7syX0UDlEu/T3FxMWlpaVcNuAa1h6s8jo7//Do09x1Z586dY8CAAezfv9/0nouLC35+fqbeufPnz2M0GsnJyTHruYUQ5ZMCSIg6IjU1tdbO1aRJE/bs2cOaNWtYtWoVW7ZsYd++fWzZsoUtW7YwY8YMvvvuO2666aZay1SXPfnkk+zfv5/69esze/ZsBg8eTMOGDctsExwczJkzZ6x+WRMhbIVcAhPCBvn7+wNw4cKFCuf6Kb3cUrr9lfR6PQMHDuTDDz9k165dpKWlsXjxYpo0acKlS5e47777au2y2JX5KrpEVPqZo6NjrfZQVaSoqMh0F9zHH3/MAw88cFXxU1JSwoULFyxy/it7tvLz88vdJiMjwyLnFsKaSQEkhA2KjIwE1EtBGzduvOZ2f/75JwBdu3a97jE9PT257777+PzzzwE4e/ZsmUs6Fbly0HF1ejg6d+5sOkZFy2SUfp8OHTpctR6ZVs6fP28qPDp16lTuNps3b75mcVJTvr6+pteJiYnlbrNjxw6LnFsIayYFkBA2qH379rRu3RqAN95446p5fgBWrVpl+sM3atQo0/vX69W5cqK+8u6mKo+Xl5fpdXp6eqX2uZKPjw8DBw4EYPbs2eTm5l61zb59+/j++++Bst9Ha15eXqZZmPft23fV58XFxRad/6dly5am/81K2+dKRqORGTNmWOz8QlgrKYCEsFEzZ84E4K+//uLuu+8mISEBUC/JLF682FQk3HDDDQwdOtS039atW2nfvj3vv/8+hw4dwmg0AmrPzdatW5kwYQKgDjhu3759pbK0bNkSZ2dnQB1gXZ1eoDfeeAMnJyeOHTvGwIEDTb1PRqORVatWceutt1JcXEzz5s155JFHqnz86+nbt+91l+koj4eHBz179gRgypQprFu3ztSmcXFx3HrrrezatQt3d3eznxvUWbyHDx8OwFtvvcWyZctMRe7hw4e56667iI2NrfAYTZs2RafT0bdv3yqfXwirpeksREKICl1vIsTree+99xSdTmc6ho+Pj+Ls7Gz6uV27dkpSUlKZfa6cOA9QnJyclPr165smGQQULy8vZdOmTWX2q2giREVRlHHjxpk+d3NzU5o0aaKEhIQoTz31lGmbiiZCVBRFWbJkSZn8Xl5eiouLi+nn4OBg5eDBg1ftZ47JAPv06VNhtors2rVLcXd3Nx3fYDAonp6eCqA4OjoqX375pRISEqIAysKFC816bkVRlMTERNOEmaX/m3p5eSmA4unpqWzYsKHC716arU+fPtU6vxDWSHqAhLBhTz75JLt27WL06NEEBweTm5uLq6sr3bt35/333ycmJqbM/DegjgdatmwZEyZMoEuXLvj5+ZGZmYmLiwsdO3bk2Wef5dChQ/Tu3btKWebOncu0adNo164doK6PderUqSoN/r3nnns4cOAAjzzyCM2bN6egoABHR0c6duzI9OnTiYuLq3AdsJooXSi1e/fuVd63S5cu7Ny5k5EjR+Ln54fRaMTT05ORI0eydetW7r//fnPHLSMoKIgdO3bw0EMPmaYR8PDwYMyYMezZs6fCuaKEsFU6RZF7LoUQoiJnzpwhODgYBwcHDh48SMuWLbWOJISoIekBEkKI61i3bh0AY8eOleJHCBshBZAQQlzH+vXrMRgMTJ06VesoQggzkUtgQgghhLA70gMkhBBCCLsjBZAQQggh7I4UQEIIIYSwO1IACSGEEMLuSAEkhBBCCLsjBZAQQggh7I4UQEIIIYSwO1IACSGEEMLuSAEkhBBCCLsjBZAQQggh7I4UQEL5L+y2AAAAC0lEQVQIIYSwO/8PyoLOeKcsP/oAAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32cbc8550>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x32f5bb5d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "amplitude_1 = 10.;\n",
    "amplitude_2 = 20.;\n",
    "\n",
    "position_1 = 40.;\n",
    "position_2 = 60.;\n",
    "\n",
    "halfwidth_1 = 10.;\n",
    "halfwidth_2 = 5.;\n",
    "\n",
    "y1, y_peak1 = gaussiennes([amplitude_1],[position_1],[halfwidth_1],x) # in this case y1 == y_peak1\n",
    "y2, y_peak2 = gaussiennes([amplitude_2],[position_2],[halfwidth_2],x) # in this case y1 == y_peak1\n",
    "\n",
    "figure()\n",
    "plot(x,y1+y2,\"b-\",label=\"Total signal\")# the bulk signal\n",
    "plot(x,y1,\"r-\",label=\"peak 1\") \n",
    "plot(x,y2,\"g-\",label=\"peak 2\") \n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Another option is to use the ability of gaussiennes to handle arrays. In this case, y_peaks will be a 2 columns array containing the two peak signals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32f788a10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x3329e2190>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_tot, y_peaks = gaussiennes([amplitude_1;amplitude_2],[position_1;position_2],[halfwidth_1;halfwidth_2],x)\n",
    "\n",
    "figure()\n",
    "plot(x,y_tot,\"b-\",label=\"Total signal\")# the bulk signal\n",
    "plot(x,y_peaks[:,1],\"r-\",label=\"peak 1\") \n",
    "plot(x,y_peaks[:,2],\"g-\",label=\"peak 2\") \n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Now let's add some noise to this signal, and try to fit it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32f75c8d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x332bbb2d0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_noisy = y_tot + randn(size(y_tot,1))\n",
    "figure()\n",
    "plot(x,y_noisy,\"k-\",label=\"Noisy signal\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We create a JuMP model and will solve the problem with Ipopt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "******************************************************************************\n",
      "This program contains Ipopt, a library for large-scale nonlinear optimization.\n",
      " Ipopt is released as open source code under the Eclipse Public License (EPL).\n",
      "         For more information visit http://projects.coin-or.org/Ipopt\n",
      "******************************************************************************\n",
      "\n",
      "This is Ipopt version 3.12.4, running with linear solver mumps.\n",
      "NOTE: Other linear solvers might be more efficient (see Ipopt documentation).\n",
      "\n",
      "Number of nonzeros in equality constraint Jacobian...:        0\n",
      "Number of nonzeros in inequality constraint Jacobian.:        0\n",
      "Number of nonzeros in Lagrangian Hessian.............:       21\n",
      "\n",
      "Total number of variables............................:        6\n",
      "                     variables with only lower bounds:        0\n",
      "                variables with lower and upper bounds:        6\n",
      "                     variables with only upper bounds:        0\n",
      "Total number of equality constraints.................:        0\n",
      "Total number of inequality constraints...............:        0\n",
      "        inequality constraints with only lower bounds:        0\n",
      "   inequality constraints with lower and upper bounds:        0\n",
      "        inequality constraints with only upper bounds:        0\n",
      "\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "   0  1.4908347e+05 0.00e+00 1.00e+02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0\n",
      "   1  1.3392554e+05 0.00e+00 9.31e+01  -1.0 9.30e-01   2.0 9.58e-01 1.00e+00f  1\n",
      "   2  1.0098328e+05 0.00e+00 7.68e+01  -1.0 2.30e+00   1.5 1.00e+00 1.00e+00f  1\n",
      "   3  5.4738242e+04 0.00e+00 4.84e+01  -1.0 4.27e+00   1.0 1.00e+00 1.00e+00f  1\n",
      "   4  2.2653553e+04 0.00e+00 1.83e+01  -1.0 4.41e+00   0.6 1.00e+00 1.00e+00f  1\n",
      "   5  1.2764248e+04 0.00e+00 1.97e+01  -1.0 1.24e+01   0.1 1.00e+00 1.00e+00f  1\n",
      "   6  4.0505856e+03 0.00e+00 3.80e+00  -1.0 4.17e+00   0.5 1.00e+00 1.00e+00f  1\n",
      "   7  3.5514729e+03 0.00e+00 2.16e+01  -1.0 1.38e+02    -  9.98e-02 2.70e-02f  2\n",
      "   8  1.2946976e+03 0.00e+00 1.89e+00  -1.0 2.76e+00    -  1.00e+00 1.00e+00f  1\n",
      "   9  1.1820433e+03 0.00e+00 1.49e+00  -1.0 2.48e+00    -  1.00e+00 1.00e+00f  1\n",
      "iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls\n",
      "  10  1.0057287e+03 0.00e+00 3.59e-01  -1.0 9.51e-01    -  1.00e+00 1.00e+00f  1\n",
      "  11  9.8845498e+02 0.00e+00 5.74e-02  -1.7 4.87e-01    -  1.00e+00 1.00e+00f  1\n",
      "  12  9.8799239e+02 0.00e+00 1.86e-03  -2.5 9.04e-02    -  1.00e+00 1.00e+00f  1\n",
      "  13  9.8799188e+02 0.00e+00 2.20e-06  -3.8 3.14e-03    -  1.00e+00 1.00e+00f  1\n",
      "  14  9.8799188e+02 0.00e+00 6.13e-12  -5.7 3.78e-06    -  1.00e+00 1.00e+00f  1\n",
      "  15  9.8799188e+02 0.00e+00 2.98e-14  -8.6 9.57e-08    -  1.00e+00 1.00e+00f  1\n",
      "\n",
      "Number of Iterations....: 15\n",
      "\n",
      "                                   (scaled)                 (unscaled)\n",
      "Objective...............:   7.2780170995800360e+00    9.8799188029708989e+02\n",
      "Dual infeasibility......:   2.9806783047273045e-14    4.0462751358721049e-12\n",
      "Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00\n",
      "Complementarity.........:   2.5059215249955887e-09    3.4017921165645595e-07\n",
      "Overall NLP error.......:   2.5059215249955887e-09    3.4017921165645595e-07\n",
      "\n",
      "\n",
      "Number of objective function evaluations             = 21\n",
      "Number of objective gradient evaluations             = 16\n",
      "Number of equality constraint evaluations            = 0\n",
      "Number of inequality constraint evaluations          = 0\n",
      "Number of equality constraint Jacobian evaluations   = 0\n",
      "Number of inequality constraint Jacobian evaluations = 0\n",
      "Number of Lagrangian Hessian evaluations             = 15\n",
      "Total CPU secs in IPOPT (w/o function evaluations)   =      0.141\n",
      "Total CPU secs in NLP function evaluations           =      0.090\n",
      "\n",
      "EXIT: Optimal Solution Found.\n"
     ]
    }
   ],
   "source": [
    "nb_peaks = 2 # number of expected peaks\n",
    "nb_points = size(x,1) # number of data points in the spectrum\n",
    "\n",
    "# we guess the starting values, not very well...\n",
    "amp_guess = [5.;25.]\n",
    "pos_guess = [35.;70.]\n",
    "hw_guess = [10.;25.]\n",
    "\n",
    "mod = Model(solver=IpoptSolver())\n",
    "\n",
    "# we define the variables with bounds; see documentation of JuMP for details, many things possible!\n",
    "@variable(mod,0. <= amp[i=1:2] <= 50.,start=amp_guess[i])\n",
    "@variable(mod,20. <=pos[i=1:2] <= 80.,start=pos_guess[i])\n",
    "@variable(mod,0. <= hw[i=1:2]  <= 80.,start=hw_guess[i])\n",
    "\n",
    "# we create an array of gaussian peaks; do not forget that you need to perform point to point calculation\n",
    "# we cannot use the gaussiennes function there\n",
    "@NLexpression(mod,gauss[j=1:nb_points,i=1:nb_peaks], amp[i]*exp(-log(2) *((x[j] - pos[i])/hw[i])^2))\n",
    "\n",
    "@NLobjective(mod, Min,sum((sum(gauss[j,i] for i = 1:nb_peaks)-y_noisy[j])^2 for j =1:nb_points))\n",
    "solve(mod) # solving the model\n",
    "      \n",
    "# getting the best parameters\n",
    "best_amp = getvalue(amp)\n",
    "best_pos = getvalue(pos)\n",
    "best_hw = getvalue(hw);\n",
    "\n",
    "# calculating the model\n",
    "y_calc, peaks_calc = gaussiennes(best_amp,best_pos,best_hw,x);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters calculated by JuMP + Ipopt algo are\n",
      "Amplitudes: [10.2453,19.8026]\n",
      "Positions: [40.1635,60.0119]\n",
      "Half-Width: [9.81099,5.03773]\n"
     ]
    }
   ],
   "source": [
    "println(\"Parameters calculated by JuMP + Ipopt algo are\")\n",
    "println(\"Amplitudes: $(best_amp)\")\n",
    "println(\"Positions: $(best_pos)\")\n",
    "println(\"Half-Width: $(best_hw)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32f5e7390>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x333f00510>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure()\n",
    "plot(x,y_noisy,\"k-\",label=\"Noisy spectrum\")\n",
    "plot(x,peaks_calc[:,1],\"r-\",label=\"Peak 1\")\n",
    "plot(x,peaks_calc[:,2],\"g-\",label=\"Peak 2\")\n",
    "plot(x,y_calc,\"b-\",label=\"Calculated spectrum\")\n",
    "\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- You could also use the LsqFit to fit such an easy case. Here's the way to do it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters calculated by Optim (Nelder-Mead algo) are\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x332a34510>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitudes: [19.8026,10.2453]\n",
      "Positions: [60.0119,40.1635]\n",
      "Half-Width: [5.03773,9.81099]\n"
     ]
    }
   ],
   "source": [
    "# this funciton will use gaussiennes to construct the model\n",
    "function model_test(x,p)\n",
    "    amp = p[1:2]\n",
    "    pos = p[3:4]\n",
    "    hw  = p[5:6]\n",
    "    y, peaks = gaussiennes(amp,pos,hw,x)\n",
    "    return vec(y)\n",
    "end\n",
    "\n",
    "# you define an anonymous function as the pobjective function\n",
    "objective_function(p) = sum((y_noisy - model_test(x,p)).^2) # a least square objective function\n",
    "\n",
    "p0 = [10.;10.;40;50;5.;5.]\n",
    "Optim_model = Optim.optimize(objective_function,p0,NelderMead())\n",
    "\n",
    "# getting the best parameters\n",
    "best_param = Optim.minimizer(Optim_model)\n",
    "\n",
    "# calculating the model\n",
    "y_calc_2, peaks_calc_2 = gaussiennes(best_param[1:2],best_param[3:4],best_param[5:6],x)\n",
    "\n",
    "figure()\n",
    "plot(x,y_noisy,\"k-\",label=\"Noisy spectrum\")\n",
    "plot(x,peaks_calc_2[:,1],\"r-\",label=\"Peak 1\")\n",
    "plot(x,peaks_calc_2[:,2],\"g-\",label=\"Peak 2\")\n",
    "plot(x,y_calc_2,\"b-\",label=\"Calculated spectrum\")\n",
    "\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()\n",
    "\n",
    "println(\"Parameters calculated by Optim (Nelder-Mead algo) are\")\n",
    "println(\"Amplitudes: $(best_param[1:2])\")\n",
    "println(\"Positions: $(best_param[3:4])\")\n",
    "println(\"Half-Width: $(best_param[5:6])\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We note one bad thing: Optim can return a negative value for one of the half-width... In general, JuMP + Ipopt give very good result and a very high level of control. The drawback is that you have to write down the equations by yourself. On the good side: automatic differentiation is performed..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.5.2",
   "language": "julia",
   "name": "julia-0.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
